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Finding the Fourth Proportional to 13,867.77, 20,706.05 and 13,727.64

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Solution

The fourth proportional to 13,867.77, 20,706.05 and 13,727.64 is: 20,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.77 : 20,706.05 = 13,727.64 : x
  2. Step 2: Convert to fraction form
    13,867.77/20,706.05 = 13,727.64/x
  3. Step 3: Cross multiply
    13,867.77x = 20,706.05 × 13,727.64
  4. Step 4: Simplify right side
    13,867.77x = 284,245,200.22
  5. Step 5: Solve for x
    x = 284,245,200.22/13,867.77
  6. Step 6: Final answer
    x = 20,496.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.